13 citations · 13 across the 2 of their papers we have counts for
3 papers
Ground state energy of a Bose gas in the Gross-Pitaevskii regime
Giulia Basti, Serena Cenatiempo, Alessandro Olgiati +2
We review some rigorous estimates for the ground state energy of dilute Bose gases. We start with Dyson's upper bound, which provides the correct leading order asymptotics for hard…
A new second order upper bound for the ground state energy of dilute Bose gases
Giulia Basti, Serena Cenatiempo, Benjamin Schlein
We establish an upper bound for the ground state energy per unit volume of a dilute Bose gas in the thermodynamic limit, capturing the correct second order term, as predicted by th…
The three-body problem in dimension one: From short-range to contact interactions
Giulia Basti, Claudio Cacciapuoti, Domenico Finco +1
We consider a Hamiltonian describing three quantum particles in dimension one interacting through two-body short-range potentials. We prove that, as a suitable scale parameter in t…